In an additional analysis, it was investigated if the fit with an exponential function related to the
Titius-Bode law [12] in the form f(n) = [alpha] + [beta] [2.sup.n] was better or worse at describing the data than the exponential function of type f (n) = [alpha] [exp.sup.[beta]n] (with [alpha] and [BETA] free parameters), as also used by Naficy et al.
A complementary theory about stellar evolution - the Star Procreation Theory shows how Super-Nova stellar eruptions create and put into motion the planets, explaining the root cause for the
Titius-Bode Law of planetary orbital patterns, which is something of an enigma in Sir Isaac Newton's Universal Theory of Gravitation.
Developed in the 1700s, and sometimes known as the
Titius-Bode Law, this "law" is actually just a mathematical formula to describe the relationship between the distances of planets from the Sun.
Using the new discovery as well as data for other planetary systems, the astronomers found an equivalent of the
Titius-Bode law that exists in our Solar System: the distances of the planets from their star seem to follow an approximately regular pattern.
The theory is called Bode's Law, or the
Titius-Bode Law, named after Johann Daniel Titius and Johann Elert Bode in 1766.
It is now more appropriately called the
Titius-Bode law.
One of the famous empirical facts about this configuration is the
Titius-Bode law, observed by Johann Titius in 1766 and published by Johann Elert Bode in 1772.
Bode (1744-1826) described an apparent regularity of the planetary radii, later known as the
Titius-Bode law (expressed in 1787 in its more modern mathematical form by Wurm: [r.sub.n] = 0.4 + 0.3 x [2.sup.n], n = -[infinity] (Mercury), 0,1, 2, ...) [13].
By the 18th century, the
Titius-Bode law, a numerical sequence that seemingly represented the orbital layout of the solar system and even accounted for the discovery of Uranus at the next appropriate distance from the Sun, persuaded many astronomers to expect that another new planet would be found in the gap at 2.8 times Earth's distance from the Sun.